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Finding the Fourth Proportional to 601,041.08, 829,400 and 329,112.20

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Solution

The fourth proportional to 601,041.08, 829,400 and 329,112.20 is: 454,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,041.08 : 829,400 = 329,112.20 : x
  2. Step 2: Convert to fraction form
    601,041.08/829,400 = 329,112.20/x
  3. Step 3: Cross multiply
    601,041.08x = 829,400 × 329,112.20
  4. Step 4: Simplify right side
    601,041.08x = 272,965,658,680
  5. Step 5: Solve for x
    x = 272,965,658,680/601,041.08
  6. Step 6: Final answer
    x = 454,154.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.